14133672 has 96 divisors (see below), whose sum is σ = 45302400. Its totient is φ = 3894912.

The previous prime is 14133671. The next prime is 14133677. The reversal of 14133672 is 27633141.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3024) is a multiple of the sum of its prime divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (14133671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14133 + ... + 15099.

It is an arithmetic number, because the mean of its divisors is an integer number (471900).

Almost surely, 2^14133672 is an apocalyptic number.

14133672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14133672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22651200).

14133672 is an abundant number, since it is smaller than the sum of its proper divisors (31168728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14133672 is a wasteful number, since it uses less digits than its factorization.

14133672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1008 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 14133672 is about 3759.4776232876. The cubic root of 14133672 is about 241.7788659086.

The spelling of 14133672 in words is "fourteen million, one hundred thirty-three thousand, six hundred seventy-two".